TSTP Solution File: RNG026-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:57:19 EDT 2024

% Result   : Unsatisfiable 0.44s 1.13s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;  12 RR)
%            Number of literals    :   24 (  23 equ;  11 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).

cnf(c_52,plain,
    add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) = multiply(X0,add(X1,additive_inverse(X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference1) ).

cnf(c_56,negated_conjecture,
    add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_teichmuller_identity) ).

cnf(c_58,plain,
    add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).

cnf(c_61,plain,
    add(additive_inverse(X0),X0) = additive_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).

cnf(c_62,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).

cnf(c_65,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute2) ).

cnf(c_66,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).

cnf(c_67,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).

cnf(c_70,plain,
    add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).

cnf(c_91,negated_conjecture,
    add(associator(a,b,multiply(c,d)),add(additive_inverse(add(multiply(a,associator(b,c,d)),add(multiply(associator(a,b,c),d),associator(a,multiply(b,c),d)))),associator(multiply(a,b),c,d))) != additive_identity,
    inference(theory_normalisation,[status(thm)],[c_56,c_67,c_66]) ).

cnf(c_92,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    inference(theory_normalisation,[status(thm)],[c_61,c_67,c_66]) ).

cnf(c_93,plain,
    add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)) = associator(X0,X1,X2),
    inference(theory_normalisation,[status(thm)],[c_70,c_67,c_66]) ).

cnf(c_141,plain,
    add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(a,b),multiply(c,d))),add(additive_inverse(add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(multiply(a,multiply(b,c)),d))))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)))) != additive_identity,
    inference(demodulation,[status(thm)],[c_91,c_93]) ).

cnf(c_149,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))))))))))) != additive_identity,
    inference(theory_normalisation,[status(thm)],[c_141,c_67,c_66]) ).

cnf(c_190,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),multiply(a,multiply(b,c))),d)))),additive_identity))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_149,c_92,c_65,c_67,c_66]) ).

cnf(c_191,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_identity),d),multiply(a,add(add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)),additive_inverse(multiply(multiply(b,c),d)))))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_190,c_58,c_52,c_92,c_67,c_66]) ).

cnf(c_192,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),additive_identity)))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_191,c_92,c_58,c_67,c_66]) ).

cnf(c_193,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,additive_inverse(multiply(b,multiply(c,d)))))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_192,c_58,c_67,c_66]) ).

cnf(c_194,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))))) != additive_identity,
    inference(theory_normalisation,[status(thm)],[c_193,c_67,c_66]) ).

cnf(c_195,plain,
    add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))))) != additive_identity,
    inference(demodulation,[status(thm)],[c_194,c_51]) ).

cnf(c_738,plain,
    add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
    inference(superposition,[status(thm)],[c_67,c_62]) ).

cnf(c_1032,plain,
    additive_identity != additive_identity,
    inference(demodulation,[status(thm)],[c_195,c_738]) ).

cnf(c_1033,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1032]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 21:55:00 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running UEQ theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.13  % SZS status Started for theBenchmark.p
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13  
% 0.44/1.13  ------  iProver source info
% 0.44/1.13  
% 0.44/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13  git: non_committed_changes: false
% 0.44/1.13  
% 0.44/1.13  ------ Parsing...successful
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sup_sim: 5  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.44/1.13  ------ Proving...
% 0.44/1.13  ------ Problem Properties 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  clauses                                 20
% 0.44/1.13  conjectures                             0
% 0.44/1.13  EPR                                     0
% 0.44/1.13  Horn                                    20
% 0.44/1.13  unary                                   20
% 0.44/1.13  binary                                  0
% 0.44/1.13  lits                                    20
% 0.44/1.13  lits eq                                 20
% 0.44/1.13  fd_pure                                 0
% 0.44/1.13  fd_pseudo                               0
% 0.44/1.13  fd_cond                                 0
% 0.44/1.13  fd_pseudo_cond                          0
% 0.44/1.13  AC symbols                              1
% 0.44/1.13  
% 0.44/1.13  ------ Input Options Time Limit: Unbounded
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 
% 0.44/1.13  Current options:
% 0.44/1.13  ------ 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Proving...
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13  
% 0.44/1.13  
%------------------------------------------------------------------------------